Pith Number

pith:BZP3FGQG

pith:2012:BZP3FGQG55MZPSAUSWYNEGROUJ

not attested not anchored not stored refs pending

The Analytic Classification of Plane Curves with Two Branches

Abramo Hefez, Marcelo Escudeiro Hernandes, Maria Elenice Rodrigues Hernandes

arxiv:1208.3284 v1 · 2012-08-16 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZP3FGQG55MZPSAUSWYNEGROUJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:21:49.622721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e5fb29a06ef5997c81495b0d21a2ea251e7895d909055fb65f6026ca2262b55

Aliases

arxiv: 1208.3284 · arxiv_version: 1208.3284v1 · doi: 10.48550/arxiv.1208.3284 · pith_short_12: BZP3FGQG55MZ · pith_short_16: BZP3FGQG55MZPSAU · pith_short_8: BZP3FGQG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BZP3FGQG55MZPSAUSWYNEGROUJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0e5fb29a06ef5997c81495b0d21a2ea251e7895d909055fb65f6026ca2262b55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f58971445d62cad432e0b8fac1609428be1dc599397d9a4d8aad54b32b9552",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-16T04:25:07Z",
    "title_canon_sha256": "ebd82585bea8d33b051db4c11d3e61305eb7433955993485075dedd3ae8e22af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3284",
    "kind": "arxiv",
    "version": 1
  }
}